Find the 4th term in the sequence
with the following definition:

a1 = 0
a2 = -6
an = 2(an-1-3)

Answer:

x = 7

Step-by-step explanation:

Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.

7x - 4 = 5x + 10

add 4 from both sides to get

7x = 5x + 14

subtract 5x from both sides to get

2x = 14

divide both sides by 2 to get

x = 7

Corresponding angles are Same

Answer:

True

Step-by-step explanation:

If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion

Answer:

its false

Step-by-step explanation:

Answer:

y = -2x +6

Step-by-step explanation:

Answer:

y = -1/2x + 19/2

Step-by-step explanation:

Hi there!

We are given the points (9,5) and (7,6)

We want to write an equation of the line that contains these two points, in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion.

[tex]x_1=9\\y_1=5\\x_2=7\\y_2=6[/tex]

Now substitute these values into the formula to find the slope

m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{6-5}{7-9}[/tex]

Subtract

m=[tex]\frac{1}{-2}[/tex]

m=-1/2

The slope of the line is -1/2

We can substitute this as m into the formula for slope-intercept form:

y = -1/2x + b

Now we need to find b

As the equation passes through (9, 5) and (7, 6), we can use either one to solve for b

Taking (7, 6) for example:
Substitute 7 as x and 6 as y into the equation

6 = -1/2(7) + b

Multiply

6 = -7/2 + b

Add 7/2 to both sides

19/2 = b

substitute 19/2 as b:

y = -1/2x + 19/2

Hope this helps!

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The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

In the given problem,

Put these values in the above formula as,

[tex]A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24[/tex]

The interest amount paid is,

[tex]I=A-P\\I=2562.24-2530.16\\I=32.08[/tex]

Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

Learn more about the compound interest here;

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Answer:

The correct answer is C

Step-by-step explanation:

Considering that we want to find a measure of center of the number of pages in the books, the correct option is:

B A box and whisker plot shows more information than a bar graph.

In this problem, we want to find the average number of pages in the books, which is a measure of center, hence option B is correct.

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The dimension Garet must not use to construct the rectangular prism is 10 cm × 2 cm × 6 cm.

He is using 96  1cm cubes to build a rectangular prism . He wants the rectangular prism to have a height of 6 cm.

volume of a cube = l³

where

Therefore, each volume of the cube is as follows:

volume of cube = 1³ = 1 cm³

The total volume of the whole 96 cubes = 96 cm³

Therefore, the volume of the rectangular prism should be the same with the volume of the whole cubes. But must have a height of 6cm.

Hence, the dimension that Garret must not use is 10 cm × 2 cm × 6 cm.

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Answer:

44.44%

Step-by-step explanation:

Answer:

im in 6° but it's a computer so I can't tell

Answer:

50

Step-by-step explanation:

25*2

60% is double 30% so 60% of the number would be 50

Answer:

Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction

Step-by-step explanation:

The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

[tex]\$ \ 144,700 \times 0.72 = \$ \ 104,184[/tex]

The tax on the property will be;

[tex]\$ \ 104,184 \times 0.039 = \$ \ 4,063.176[/tex]

The amount which goes to funding schools is;

[tex]\$ \ 4,063.176 \times 0.65= \$ \ 2641.0644[/tex]

Hence your taxes went to funding schools will be $2641.

To learn more about the tax refer to the link;

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Answer:

2641

Step-by-step explanation:

Answer:

A) 80(One-fourth) Superscript x minus 1

Step-by-step explanation:

Used the table function on my calculator. 1/4 of 80 is 20 and 1/4 of 20 is 5. f(1) = 80 f(2) = 20 f(3) = 5 and so on. Hope that made sense!

Answer:

f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given the points (1, 80 ) , (2, 20 ) , (3, 5 )

then

x |    1    2    3

y |  80  20  5

with a₁ = 80 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] , then

f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]

The probability Amelie spins either an odd number or a red number is:

P = 4/5

We want to find the probability of spinning a red or odd number, this is equal to the quotient between the number of odd numbers + the number of red numbers and the total number of numbers in the spinner.

Then there are 5 + 3 = 8 numbers that are either red or odd, and a total of 10 numbers, this means that the probability of spinning an odd number or a red number is:

P = 8/10 = 4/5

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The answer to your question that you asked is cone or B

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

More about the rectangle link is given below.

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Answer:

2.4

Step-by-step explanation:

1/5=0.2

7.2/3=2.4

Answer:

C looks good. if u have 2 attempts and c wrong it has to be B

answer:

157.08 square cm (when rounded to hundredths)

unrounded - 157.0796327

The ratio of the surface area of solid A to the surface area of solid B is 1/64

The volume is the amount of substance an object contains

Given the following parameters

Volume of solid  A = 28m^3

Volume of solid B =  1,792m^3.

Ratio = A/B
Ratio = 28/1792
Ratio = 1/64

Hence the ratio of the surface area of solid A to the surface area of solid B is 1/64

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Answer:

the distance between -4 and -14 is 10

Step-by-step explanation:

they both as negative numbers

Distance = 10

⇒ Distance = Larger integer - Smaller integer

In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.

⇒ Distance = (-4) - (-14)

Simplify the expression on the R.H.S:

⇒ Distance = -4 + 14                                                            [-1 x -1 = 1]

⇒ Distance = 10

Answer:

that would be 700ft^2

Step-by-step explanation:

The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectangle with area 17 × 12 = 102ft^2

Add them all up 700ft^2

Answer:

that would be 700ft^2

Step-by-step explanation:

The rectangle on top has area of 23 × 14 = 322ft^2

the rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectangle with area 17 × 12 = 102ft^2

Add them all up 700ft^2

8%

have a lovely day/afternoon/night!! <3

Answer:2002 combinations

Step-by-step explanation:I did the math on my paper

Answer:

-1

Step-by-step explanation:

inverse is -(x-1)/3

-(4-1)/3 is -1

Answer:

If you split it up it would be 60, 150, 210

Answer:

0

Step-by-step explanation:

use a slope calculator